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Finding the Fourth Proportional to 12,780.46, 19,129.38 and 7,859.98

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Solution

The fourth proportional to 12,780.46, 19,129.38 and 7,859.98 is: 11,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.46 : 19,129.38 = 7,859.98 : x
  2. Step 2: Convert to fraction form
    12,780.46/19,129.38 = 7,859.98/x
  3. Step 3: Cross multiply
    12,780.46x = 19,129.38 × 7,859.98
  4. Step 4: Simplify right side
    12,780.46x = 150,356,544.21
  5. Step 5: Solve for x
    x = 150,356,544.21/12,780.46
  6. Step 6: Final answer
    x = 11,764.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.